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STEPHEN N. ,-MANNING, or K'ANKAKEE, ILLINOIS. Latem Patent N0. 83,392, dazed ocmw 27,1868. Y

.APPARATUS FOR ILL'USTIRAIINGI SPH'EIRICAL TRIG-ONQIVIETRY.

The Schedule referred to in these Letters Patent and making part of the sama.

To all whom. it l:m1/y `concer/n:

Be it known that I, STEPHEN N. MANNING, of theV city of Kankakee, in the county of Kankakee, and State of Illinois, have invented a-new and useful Apparatus for Illustrating the Science of Spheric Geometr'y and'lrigonometry, called a Spheric Delineator; and I do hereby declare that the following is a full, clear, and exact' description of the Vconstruction and use of the same, reference being had lto the accompanying drawings, and letters and iigures marked thereon, which form apart of this specilication.

In said drawings- Figure 1 represent a plane, black, circular surface, made of sheet-iron or any convenient material, divided into quadrants. l

Figure 2 represents a sector made of the same material, consisting of two smaller sectors, joined at the acute angles by a pivot, so`as to open and close, to represent larger or smaller arcs, and having points at the outer end of the arcs to enter the holes in the quadrants to keep it in place. V l Figure 3 represents a metallic ring.

Figure 4 represents the divisor, being a wire bent in form of an arc, and having a hook or clamp at one end with which to attach it to an arc.

Figure 5 represents a straight wire, called a perpendicular. I

. ing each part except the small circle or metallic ring.

The nature of my invention consists in' au apparatus to be used to illustrate the scienceof spheric geometry and trigonometry, by adjusting the different parts and applying the several sections so as to form and show distinctly the points, lines, arcs, and, angles of spheric triangles'in their true relative positions and proportions.

To enable thoseskilled in the science to understand i how to construct and use my invention, I will proceed to describe the same with particularity.

I-construct a plane, black, circular surface, of sheetiron or any convenient material, and divide the same into quadrants, as represented in iig. l by the letters A, B, C, and D; quadrants B and C having several small holes in the arcs. I hinge the quadrants A to B,Bto O,andDtoA.

To construct any quadrantal triangle, place quadrants B and G at any angle with each other, and at right angles to the quadrants A and D.

To construct any other triangle, place two quadrants at any required angle with each other, and place the sector between them to form' the third side. On the `planes of the quadrants and sector, any required lines can be drawn.

To represent a small circle, place any three ofthe quadrants perpendicular to the fourth, and, place on the top the metallic ring.

To divide a triangle, or represent any required arc, attach the `divisor to any arc, and extend it across another arc.

To represent a perpendicular, extend the perpendicular from a vertical angle to the opposite plane.

To represent a tangent or secan't, attach the tangent-bar to any arc by means of any small clamp.

To construct fig. 7, let quadrants A and DI lie horizontal; elevate quadrants B and (l to an angle of about seventy degrees; place the sector between quadrants C and D; from the verticalv intersection of v quadrant O and the sector, extend the perpendicular at right angles to the plane of quadrant D; attach the divisor to the arc of quadrant A, and let it cut the arc of quadrant B; attach tangent-bar to quadrant B, to form a tangent, and a similar bar, (there being two such used,) to quadrant B, to form a secant.

What I claim as my invention, and desire to secure A by Letter Patent, is-

The combination and arrangement of the hingedsector, plates, and wires, constructedsubstantially as described, for the purpose of illustrating and demonstrating the problems of spherical geometry and trigonometry, by forming the diagrams so as to show all the parts in their true relative positions a'nd proportions.

STEPHEN N. MANNIN G. Witnesses:

W. S.DEGKER, JAMES N: Onu.` 

